Feeling it's smart to get coaching (9)

I believe the answer is:
intuition
'feeling' is the definition.
(intuition is a kind of feeling)
'smart to get coaching' is the wordplay.
'smart' becomes 'in' (as in fashionable).
'to get' says to put letters next to each other.
'coaching' becomes 'tuition' (I've seen this before).
'in'+'tuition'='INTUITION'
'it's' is the link.
(Other definitions for intuition that I've seen before include "Perception" , "women are known for it" , "Suspicion" , "Unjustified belief" , "Hunch" .)